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Finding the Fourth Proportional to 10,032.84, 15,058.50 and 5,106

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Solution

The fourth proportional to 10,032.84, 15,058.50 and 5,106 is: 7,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.84 : 15,058.50 = 5,106 : x
  2. Step 2: Convert to fraction form
    10,032.84/15,058.50 = 5,106/x
  3. Step 3: Cross multiply
    10,032.84x = 15,058.50 × 5,106
  4. Step 4: Simplify right side
    10,032.84x = 76,888,701
  5. Step 5: Solve for x
    x = 76,888,701/10,032.84
  6. Step 6: Final answer
    x = 7,663.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.